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Improved integrability and boundedness of solutions to some high-order variational problems

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We give a series of results on the improved integrability and boundedness of solutions to several high-order variational problems with strengthened coercivity. In particular, we consider the homogeneous Dirichlet problem on the minimum of integral functionals and study variational inequalities with unilateral and bilateral obstacles and with integral and gradient constraints.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slov’yansk, Ukraine

    Mykhailo V. Voitovych

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  1. Mykhailo V. Voitovych
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Correspondence to Mykhailo V. Voitovych.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 1, pp. 103–131 January–March, 2018.

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Voitovych, M.V. Improved integrability and boundedness of solutions to some high-order variational problems. J Math Sci 235, 81–102 (2018). https://doi.org/10.1007/s10958-018-4061-0

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